## Cuboid

Cuboids are familiar objects you encounter in daily life numerous times. Cuboids are essentially boxes, formed exclusively from rectangles. These familiar shapes are also known as rectangular prisms.

Table of Contents

**Definition of Cuboid**

The cube is a 3D structure which is formed when 6 identical squares bind to each other in an enclosed form.

**Remember **

all cubes are cuboids, but not all cuboids are cubes

These 2 geometric figures have numerous similarities but only 1 difference.

**Number of Faces, Edges, & Vertices of Cuboid**

Both cubes & cuboids have 6 faces, 12 edges, & 8 vertices or corners. Each edge is shared by 2 faces. At each vertex, 3 faces join together.

**Angles of Cuboid**

Cubes & cuboids contain exclusively right angles.

A cuboid is a 3 dimensional shape.

**Formulas for Volume & Surface Area**

We need to know 3 measurements to measure the volume.

There are 3 different measurements:

Length, Width, Height

The formulas to find the volume & surface area of cubes & cuboids are the same.

**To find the volume:**

Simply multiply the height by the width by the length (or depth). So, the volume is found using the formula:

**Volume = Length × Width × Height**

Which is usually shortened to:

**V = l × w × h**

Or more simply:

**V = lwh**

**To calculate the surface area: **

- Find the product of 2 times the width times the length.
- Next, multiply 2 times the length times the height.
- Then, multiply 2 times the height times the width.
- Last, add all 3 products together.

## In Any Order

It doesn’t matter which one is length, width or height, so long as you multiply all 3 together.

Example:

The volume is:

5cm × 3cm × 4cm = 60cm^{3}

It also works out the same like this:

4cm × 3cm × 5cm = 60cm^{3}

Note:

the result is in cm^{3}(cubic centimeters) because we have multiplied centimeters together 3 times.

**Shape of Faces**

The only 1 difference between cubes & cuboids is the shape of the 6 faces. Each face of a cube is a square with equal size. Each face of a cuboid is a rectangle, with at least four of these rectangles are identical.